Construction of simplified equations of nonlinear dynamics of plates and shallow shells by the averaging method

DOI10.1016/0021-8928(86)90071-7zbMath0616.73058OpenAlexW1994865320MaRDI QIDQ1821602

Yanyan Li

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90071-7

zbMATH Keywords

method of averagingsequential procedurerectangularBerger hypothesiscircular isotropic platesequations of Berger typesandwich shallow shells

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Shells (74K25) Membranes (74K15) Dynamical problems in solid mechanics (74H99)

Related Items (2)

Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Oscillation of shallow shells with finite amplitudes

Cites Work

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• On the theory of Berger plates
• Certain approximate analyses of large deflections of cylindrical shells
• Approximate equations of axisymmetric vibrations of cylindrical shells
• Approximate method of determining the natural frequencies of flexible rectangular plates
• On the berger approximation: A critical re-examination
• Non-linear dispersive waves
• A perturbation method for nonlinear dispersive wave problems

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